88993 ÷ 8 = 11124 R1
Let's divide 88993 by 8.

Step 1:
8 goes into 8 1 times with a remainder of 0.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 8 from 8 to get 0.
Bring next digit (8) of the dividend behind the 0 and repeat the process: 8 / 8

Step 2:
8 goes into 8 1 times with a remainder of 0.
Write down 1 as next digit of of the result. 
Result so far: 11
Subtract 8 from 8 to get 0.
Bring next digit (9) of the dividend behind the 0 and repeat the process: 9 / 8

Step 3:
8 goes into 9 1 times with a remainder of 1.
Write down 1 as next digit of of the result. 
Result so far: 111
Subtract 8 from 9 to get 1.
Bring next digit (9) of the dividend behind the 1 and repeat the process: 19 / 8

Step 4:
8 goes into 19 2 times with a remainder of 3.
Write down 2 as next digit of of the result. 
Result so far: 1112
Subtract 16 from 19 to get 3.
Bring next digit (3) of the dividend behind the 3 and repeat the process: 33 / 8

Step 5:
8 goes into 33 4 times with a remainder of 1.
Write down 4 as next digit of of the result. 
Result so far: 11124
Subtract 32 from 33 to get 1.

The final result is 11124 with a remainder of 1.